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Finding the Fourth Proportional to 1,042.92, 1,564.56 and 466.20

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Solution

The fourth proportional to 1,042.92, 1,564.56 and 466.20 is: 699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.92 : 1,564.56 = 466.20 : x
  2. Step 2: Convert to fraction form
    1,042.92/1,564.56 = 466.20/x
  3. Step 3: Cross multiply
    1,042.92x = 1,564.56 × 466.20
  4. Step 4: Simplify right side
    1,042.92x = 729,397.87
  5. Step 5: Solve for x
    x = 729,397.87/1,042.92
  6. Step 6: Final answer
    x = 699.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.